Codimension two bifurcation in a delayed neural network with unidirectional coupling (Q1940742)
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scientific article; zbMATH DE number 6142868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Codimension two bifurcation in a delayed neural network with unidirectional coupling |
scientific article; zbMATH DE number 6142868 |
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Codimension two bifurcation in a delayed neural network with unidirectional coupling (English)
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7 March 2013
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A delayed neural network with unidirectional coupling is studied. First, the authors prove the existence of a zero-Hopf bifurcation for such networks. Then, a normal form is used in order to predict zero-Hopf diagrams. Moreover, the existence of double Hopf bifurcation is proved for the coupled dynamical system. Numerical experiments illustrate the obtained theoretical results.
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codimension-two bifurcation
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zero-Hopf bifurcation
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double Hopf bifurcation
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delayed neural networks
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0.9375024
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0.92989457
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0.92889404
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0.92388296
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0.92192906
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0.9116811
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0.90711087
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0.9024752
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